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What is the Least Common Multiple of 17262 and 17276?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 17262 and 17276 is 21301308.

LCM(17262,17276) = 21301308

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Least Common Multiple of 17262 and 17276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17262 and 17276, than apply into the LCM equation.

GCF(17262,17276) = 14
LCM(17262,17276) = ( 17262 × 17276) / 14
LCM(17262,17276) = 298218312 / 14
LCM(17262,17276) = 21301308

Least Common Multiple (LCM) of 17262 and 17276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17262 and 17276. First we will calculate the prime factors of 17262 and 17276.

Prime Factorization of 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 21 × 32 × 71 × 1371

Prime Factorization of 17276

Prime factors of 17276 are 2, 7, 617. Prime factorization of 17276 in exponential form is:

17276 = 22 × 71 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 17262 and 17276.

LCM(17262,17276) = 22 × 32 × 71 × 1371 × 6171
LCM(17262,17276) = 21301308